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3 years ago

If the degree measures of vertical angles AED and CEB are represented by (3x+20) and (8x-5), find the value of x

1 answer:

4 0

Hello! 3x + 20 and 8x - 5 are equal. To find the value of "x", we should set up and solve an equation. It would be written like this:

3x + 20 = 8x - 5

First off, subtract 3x from both sides in order to get 20 = 5x - 5. Add 5 to both sides to get 25 = 5x. Now, divide each side by 5 to isolate the "x". 25/5 is 5. Now, let's plug in the value and see if it works. 3 * 5 is 15. 15 + 20 is 35. 8 * 5 is 40. 40 - 5 is 35. 35 = 35. There. x = 5.

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Find the area and circumference of a circle with radius 2 cm use 3.14 for pie do not round answers

Vlad1618 [11]

Answer:

The area is 12.56, and the circumference is 12.56.

Step-by-step explanation:

For the area,

We need to use the formula A=3.14*radius*radius

So we plug it in, and we get 3.14*2*2, which is 12.56 centimeters squared.

For circumference, we need to do,

C = 3.14*diameter

To find the diameter we need to do 2 (radius) x 2 which is 4

Plugging it in that would be 3.14 * 4 which is 12.56

So, in this case, the area is 12.56, and the circumference is also 12.56.

3 0

3 years ago

How many seconds will it take an echo to reach your ears if you yell toward a mountain

DiKsa [7]

It will take 0.556 seconds for an echo to reach one's ears

<h3>Calculating the time to hear an echo</h3>

From the question, we are to determine how long it would take an echo to reach one's ears

From the formula,

$Speed = \frac{2 \times distance \ travelled\ by \ sound}{Time}$

NOTE: To hear an echo, the sound will travel to and fro, hence, it will cover twice the distance

From the given information,

Distance = 92.0 m

NOTE: Speed of sound in air at 0 °C ≅ 331 m/s

Putting the parameters into the formula, we get

$331 = \frac{2 \times 92.0}{Time}$

$Time = \frac{2 \times 92.0}{331}$

Time = 0.556 secs

Hence, it will take 0.556 seconds for an echo to reach one's ears.

Learn more on Calculating the time to hear an echo here: brainly.com/question/16676723

#SPJ1

6 0

2 years ago

Mrs Amnda du Toit purchase the lounge

Masja [62]

Answer:

This isn't even a language

Step-by-step explanation:

6 0

2 years ago

Root of 108 is between______ and ______

natita [175]

Without using a calculator I would say the root is between 10 and 11

How I found the answer:
I know 10 * 10 = 100
I know 11 * 11 = 121
So the root of 100 = 10 and the root of 121 = 11 so that means the root of 108 is somewhere between 10 and 11, which the root of 108 = 10.3923

5 0

3 years ago

stich3 [128]

Answer:

7.0 m/s

Step-by-step explanation:

We can solve this using the 2 kinematic equations and you can use either:

$Vf=Vi+at\\\\vf^{2}=vi^{2}+2ad$

So let's use the first one.

Vi = initial velocity

Vf = final velocity

a = acceleration due to gravity (constant 9.8m/s²)

t = time

The marble is dropped so this means that it is in free fall. The initial velocity is always 0m/s.

We are given then the following:

d = 2.5m

t = 0.71s

Vi = 0 m/s

a = 9.8m/s²

So we plug in the values we know and solve:

$Vf = Vi + at\\\\Vf = 0 m/s + (9.8m/s^{2})(0.71s)\\Vf = 6.958m/s \cong 7.0m/s$

7 0

3 years ago